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在分析国内外已有裂缝三维延伸模型的基础上，建立了一套新的水力压裂裂缝三维延伸模型，模型的主要发展是考虑了产层、盖层和底层之间的应力和岩石力学参数（弹性模量、泊松比、断裂韧性）变化的影响，能模拟各种应力分布模式以及裂缝穿层前后的延伸情况。以该模型为基础研制了一套三维压裂优化设计软件并进行了大量的实例计算。
Based on the analysis of the existing three-dimensional model of fracture propagation at home and abroad, a new three-dimensional model of hydraulic fracturing fracture is established. The main development of the model is to consider the stress and rock mechanics parameters (Elastic modulus, Poisson’s ratio, fracture toughness) changes, can simulate various stress distribution patterns as well as before and after the crack through the extension of the situation. Based on the model, a set of 3D fracturing optimization design software was developed and a lot of examples were calculated.